BLOW-UP SOLUTIONS FOR A p-LAPLACIAN ELLIPTIC EQUATION OF LOGISTIC TYPE WITH SINGULAR NONLINEARITY

被引：0

作者：

Alves, Claudianor O. ^{[1
]}

Santos, Carlos Alberto ^{[2
]}

Zhou, Jiazheng ^{[2
]}

机构：

[1] Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429900 Campina Grande, PB, Brazil

[2] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2019年 / 53卷 / 02期

关键词：

Variational methods; blow-up solution; logistic type; quasilinear equations;

D O I：

10.12775/TMNA.2019.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we deal with existence, uniqueness and exact rate of boundary behavior of blow-up solutions is for a class of logistic type quasilinear problems in a smooth bounded domain involving the p-Laplacian operator, where the nonlinearity can have a singular behavior. In the proof of the existence of solution, we have used the sub and super solution method in conjunction with variational techniques and comparison principles. Related to the rate on boundary and uniqueness, we combine comparison principle with our result of existence of solution.

引用

页码：747 / 777

页数：31

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